Reliability Modeling and Performance Evaluation of Sachet Water Production System Using Gumbel- Hougaard Family Copula

Document Type : Original Research Article


1 Department of Mathematics, Faculty of Science, Sokoto State University, Sokoto, Nigeria

2 Department of Mathematical Sciences, Bayero University, Kano, Nigeria


For both big and small flows, reverse osmosis is particularly effective at treating brackish, surface, and groundwater. Pharmaceutical, boiler feed water, food and beverage, metal finishing, and semiconductor production are a few examples of businesses that employ RO water. This research establishes a method for testing the performance reliability of RO systems. The RO can turn unrestricted amounts of impure water into portable drinkable water without releasing carbon dioxide or other contaminants into the atmosphere. Because of these advantages, RO has been increasingly incorporated to meet pure water demand. In the present research, we consider a reverse osmosis system that is made up of six components. Raw water tank, with two units of tanks, one of them needs to be operational at a time. The second subsystem is the sand filter. The sand filter is needed for the system operation. The third subsystem is the activated carbon filter. Two out of three consecutive units of the activated carbon filter are necessary for the operation. Subsequently, the precision filter has one unit. And the unit is essential for operation. The RO membrane is the next subsystem. In this paper, one out of the three is essential for the system to be in operation. Finally, the last subsystem is the water-producing tank. One out of one of the water-producing tanks is necessary for operation. Availability, mean time to failure (MTTF), cost analysis, and reliability are discussed in the paper.


Main Subjects

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Volume 5, Issue 2
December 2022
Pages 9-18
  • Receive Date: 08 December 2022
  • Revise Date: 30 December 2022
  • Accept Date: 30 December 2022
  • First Publish Date: 30 December 2022